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Finding the Third Proportional to 713,327,372 and 1,004,522,130

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Solution

The third proportional to 713,327,372 and 1,004,522,130 is: 1,414,588,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,327,372 : 1,004,522,130 = 1,004,522,130 : x
  2. Step 2: Convert to fraction form
    713,327,372/1,004,522,130 = 1,004,522,130/x
  3. Step 3: Cross multiply
    713,327,372x = 1,004,522,130 × 1,004,522,130
  4. Step 4: Simplify right side
    713,327,372x = 1,009,064,709,659,736,960
  5. Step 5: Solve for x
    x = 1,009,064,709,659,736,960/713,327,372
  6. Step 6: Final answer
    x = 1,414,588,517.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.